13413448488384 has 672 divisors, whose sum is σ = 46064488129920. Its totient is φ = 3650937421824.

The previous prime is 13413448488383. The next prime is 13413448488389. The reversal of 13413448488384 is 48388484431431.

It is a happy number.

13413448488384 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 34 + 48 + 488 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13413448488383) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3078595134 + ... + 3078599490.

Almost surely, 2^{13413448488384} is an apocalyptic number.

13413448488384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13413448488384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23032244064960).

13413448488384 is an abundant number, since it is smaller than the sum of its proper divisors (32651039641536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13413448488384 is a wasteful number, since it uses less digits than its factorization.

13413448488384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4757 (or 4744 counting only the distinct ones).

The product of its digits is 113246208, while the sum is 63.

The spelling of 13413448488384 in words is "thirteen trillion, four hundred thirteen billion, four hundred forty-eight million, four hundred eighty-eight thousand, three hundred eighty-four".